17630
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33264
- Proper Divisor Sum (Aliquot Sum)
- 15634
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6720
- Möbius Function
- 1
- Radical
- 17630
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Numerators of continued fraction convergents to sqrt(134).at n=9A041244
- A000055(n+2)-A023359(n).at n=14A084356
- Numbers k such that (phi(k-2) + phi(k+2))/2 = phi(k); 2-phi/balanced numbers.at n=23A099633
- a(n) = ceiling( Sum_{i=1..n-1} a(i)/5 ), a(1)=1.at n=57A120170
- T(n,k)=number of nXk binary matrices with rows and then columns in strictly increasing order as binary numbers.at n=61A180989
- Number of (n+2)xn binary matrices with rows and then columns in strictly increasing order as binary numbers.at n=4A180991
- Number of nX6 0..4 arrays with each element equal to the number its horizontal and vertical neighbors equal to 2.at n=10A197059
- L.g.f.: Sum_{n>=1} x^n/n * Sum_{k=0..n} binomial(n,k)^2 * x^k*(1-x)^(n-k).at n=16A217464
- Total sum of parts of multiplicity 8 in all partitions of n.at n=41A222736
- Least integer m > 0 with pi(m*n) = sigma(m+n), where pi(.) and sigma(.) are given by A000720 and A000203.at n=29A247604
- E.g.f.: Series_Reversion( -x + 2*x*exp(-x) ).at n=4A259062
- Numbers k such that k/10 + 1 is a square.at n=42A302576
- Starts of runs of 3 consecutive positive negaFibonacci-Niven numbers (A331085).at n=38A331087
- a(n) = Sum_{k=1..n} (k/gcd(n, k))^3.at n=19A343513
- Products k of 4 distinct primes (or tetraprimes) such that k has no squarefree neighbors.at n=20A364141
- Products k of 4 distinct primes (or tetraprimes) such that none of k-2, k-1, k+1 and k+2 is squarefree.at n=8A364766